Dynamic instability analysis of porous FGM conical shells subjected to parametric excitation in thermal environment within FSDT

Fu, Tao; Wu, Xing; Xiao, Zhengming; Chen, Zhaobo

doi:10.1016/j.tws.2020.107202

Cited by 29 publications

(8 citation statements)

References 45 publications

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“…For conical shell element based on the FSDT, the strains and curvatures are defined as (Fu et al, 2021)…”

Section: Formulationsmentioning

confidence: 99%

“…In the above relation, u0,v0 and w0 are the displacement of the middle surface, and φx φθ are the rotations about axes x and θ, respectively. Also, the relations of strains will be defined as follows (Ghasemi and Meskini, 2019b)where εx0,εθ0 and εxθ0 are the middle surface strains, and kx,kθ kxθ are the surface curvatures that are defined as (Fu et al, 2021)where α is a semi angle of the conical shells. Also, the radius of the conical shell in each point is described as follows…”

Section: Formulationsmentioning

confidence: 99%

See 1 more Smart Citation

Free vibration analysis of laminated cylindrical adhesive joints with conical composite shell adherends

Meskini

Ghasemi

2022

Journal of Vibration and Control

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Free vibration analysis of adhesive joins between two laminates circular cylindrical along with conical laminated composite shells considering various boundary conditions are examined. The numerical analysis are studied based on the first order shear deformation shell theory (FSDT) and considering compatibility conditions. Using Hamilton principle method, the governing equations of composite cylindrical shell lap adhesive joined to the composite conical shells are obtained. The analysis for carbon/epoxy, glass/epoxy and aramid/epoxy laminated composite materials and various type of adhesive materials are studied. For solving the equilibrium equations of lap joined the cylindrical to the conical shells with adhesive layer, the generalized differential quadrature method (GDQM) is used. The effect of circumferential wave number, length to radius ratio of the shell, length of overlap to length of shell ratio, thickness to radius ratio and thickness of adhesive to thickness of shell ratio are investigated. Furthermore, the various cone angles of conical shell, type of materials and adhesive layer on the natural frequency of laminated circular cylindrical connected to the conical shells are studied. In order to validate the numerical results of present analysis with previous research compared that the result shown that these comparisons show very good agreement. Numerical results shown that with increasing the value of cone angle of the conical shell and the ratio of overlap length to shell length, due to increasing the structural stiffness, the non-dimensional frequency of the structure with adhesive layer increased.

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“…For conical shell element based on the FSDT, the strains and curvatures are defined as (Fu et al, 2021)…”

Section: Formulationsmentioning

confidence: 99%

Section: Formulationsmentioning

confidence: 99%

Free vibration analysis of laminated cylindrical adhesive joints with conical composite shell adherends

Meskini

Ghasemi

2022

Journal of Vibration and Control

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show abstract

“…Substituting equation 31into (30) and applying Galerkin procedure yield equation (33), which can be expressed as: is impulsive shapes function, defined in Table 5.…”

Section: Solutions For Large Amplitude Vibrationmentioning

confidence: 99%

“…Chen et al [29] used the third-order piston theory to study the thermal buckling behavior of multi-scale hybrid laminated nanocomposite disk exposed to hygro-mechanical loading. Fu et al [30,31] examined the dynamic instability of FG-CNTRC and FGM conical shells in the framework of firstorder shear deformation theory. Yang and his coauthors studied the effects of out-of-plane NPR on the nonlinear flexural and dynamic behavior of FG-CNTRC structures [32,33].…”

Section: Introductionmentioning

confidence: 99%

Static and dynamic analyses of auxetic hybrid FRC/CNTRC laminated plates

Huang

Yang

Azim

et al. 2020

Nanotechnology Reviews

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In this work, a hybrid laminated plate is developed by changing ply orientations and stacking sequences. The hybrid laminated plate is composed of carbon nanotube reinforced composite and fiber reinforced composite layers. Negative Poisson’s ratio (NPR) is obtained for the case of [22F/(22C/−22C)3T/−22F] laminate. A theoretical laminated model considering geometric nonlinearity and shear deformation is presented. Based on a two-step perturbation method, the solutions of the motion equations are obtained to capture the nonlinear frequencies and load–deflection curves. On this basis, the fourth-order Runge–Kutta method is used to obtain the dynamic response of hybrid laminated plates. The presented model is verified by comparing the results obtained analytically and numerically. Several factors such as loading and distribution of carbon nanotubes (CNTs), and foundation type are considered in parametric study. Numerical results indicate that the thermal-mechanical behavior of hybrid laminated plates significantly improved by properly adjusting the CNT distribution. In addition, the results reveal that changes in temperature and foundation stiffness have pronounced influence on the nonlinear vibration characteristics of hybrid laminate plates with NPR as compared to those with positive Poisson’s ratio.

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“…Aris 32 and Yang 33 study the nonlinear vibration of FGM-truncated conical shell in thermal environment. Then, Fu 34 investigated FGM conical shell subjected to parametric excitation and nonlinear thermal loading. Li 35 presented a semi-analytical method for free vibration of spiral-stiffened multilayer functionally graded cylindrical shells under the thermal environment.…”

Section: Introductionmentioning

confidence: 99%

Investigation on vibration of the functionally graded material–stepped cylindrical shell coupled with annular plate in thermal environment

Chen

Wang

Qin

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

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This article is concerned with thermal vibration behaviors of the functionally graded material–stepped cylindrical shell coupled with annular plate, including free vibration, transient response, and steady state response. The stepped cylindrical shell is divided into N s segments at locations of thickness and radius variations, which is coupled with N p annular plates. The boundary and coupling conditions are achieved by introducing the artificial virtual spring technology. Under the framework of FSDT, the displacement function of arbitrary shell segment and annular plate is expanded with Chebyshev polynomials and Fourier series for circumferential direction. Compared with results obtained by the finite element method and the references, a series of numerical examples and validations are presented to verify the convergence and accuracy of the current method. The effects of the relevant parameters containing the geometric parameters, boundary conditions, various loadings, and the thermal environment are investigated in detail.

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Dynamic instability analysis of porous FGM conical shells subjected to parametric excitation in thermal environment within FSDT

Cited by 29 publications

References 45 publications

Free vibration analysis of laminated cylindrical adhesive joints with conical composite shell adherends

Free vibration analysis of laminated cylindrical adhesive joints with conical composite shell adherends

Static and dynamic analyses of auxetic hybrid FRC/CNTRC laminated plates

Investigation on vibration of the functionally graded material–stepped cylindrical shell coupled with annular plate in thermal environment

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